Participants will continue to follow the protocol in which they originally enrolled. A desired therapeutic goal or "CD4 plateau" will be used in most cases to help clinicians determine when a participant requires additional IL-2. In general, if a participant has two or more consecutive CD4 counts below the CD4 plateau, additional IL-2 will be administered to that patient. In maintaining uniformity among the many trials being consolidated under this trial, the frequency and nature of study visits will be solely dictated by this umbrella study. Participants will also be asked to join an optional substudy: Interrupted Versus Continuous Antiretrovirals Involving Randomization from the Umbrella Study (ICARUS).